Cooperation is a representative altruistic behavior in which individuals contribute public goods to benefit their neighborhoods and even larger communities in social networks. The defective behavior is more likely to bring higher payoffs than the cooperative behavior, which makes the cooperative behavior hard to maintain and sustain. Many mechanisms were proposed to promote cooperation within a social dilemma, in which some recent studies introduced the impact of dynamically changing environments on players’ payoffs and strategies in social-ecological systems, and evolutionary-ecological systems. However, degree heterogeneity, an important structural property of many real-world complex networks such as social networks, academic collaboration networks, and communication networks, is rarely explored and studied in such eco-evolutionary games. In this research, we propose a Public Goods Game model on social networks with environmental feedback and analyze how the environmental factor and network structure affect the evolution of cooperation. It is found that as the initial environmental factors and the cooperation-enhancement defection-degradation ratio increase, the steady cooperation level of the social network significantly increases, and the dynamic environment will eventually evolve into a high-return environment; On the other hand, even if the initial environmental benefit coefficient is high, when the cooperation-enhancement defection-degradation ratio is less than a threshold, the dynamic environment will gradually degrade into a low-return environment. The steady cooperation level of the social network first gradually increases as the network structure becomes more heterogeneous, but it will decrease once the heterogeneity of the social network exceeds a certain threshold.
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December 2024
Research Article|
December 06 2024
Promotion of cooperation in a structured population with environmental feedbacks
Special Collection:
Intelligent Game on Networked Systems: Optimization, Evolution and Control
Ding Lyu
;
Ding Lyu
(Formal analysis, Methodology, Validation, Writing – original draft)
1
China United Network Communication Co., Ltd. Shanghai Branch
, Shanghai 200082, China
2
Department of Automation, Shanghai Jiao Tong University
, Shanghai 200240, China
3
Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai Jiao Tong University
, Shanghai 200240, China
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Hanxiao Liu
;
Hanxiao Liu
a)
(Methodology, Writing – review & editing)
4
School of Future Technology, Shanghai University
, Shanghai 200444, China
5
Institute of Artificial Intelligence, Shanghai University
, Shanghai 200444, China
a)Author to whom correspondence should be addressed: [email protected]
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Chuang Deng;
Chuang Deng
(Writing – review & editing)
6
Shanghai Aerospace Electronic Technology Institute
, Shanghai 201109, China
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Xiaofan Wang
Xiaofan Wang
(Supervision, Writing – review & editing)
2
Department of Automation, Shanghai Jiao Tong University
, Shanghai 200240, China
3
Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai Jiao Tong University
, Shanghai 200240, China
4
School of Future Technology, Shanghai University
, Shanghai 200444, China
5
Institute of Artificial Intelligence, Shanghai University
, Shanghai 200444, China
Search for other works by this author on:
a)Author to whom correspondence should be addressed: [email protected]
Chaos 34, 123136 (2024)
Article history
Received:
August 31 2024
Accepted:
November 18 2024
Citation
Ding Lyu, Hanxiao Liu, Chuang Deng, Xiaofan Wang; Promotion of cooperation in a structured population with environmental feedbacks. Chaos 1 December 2024; 34 (12): 123136. https://doi.org/10.1063/5.0236333
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